I ran a multilevel CFA twice, once a half year ago with version 3.1 and right now, with version 5.1. I got different results, although the data were absolutely the same. I noticed that in the first case "expected" and in the second "observed" were denoted for calculation of the information matrix. Has the default setting changed from version 3 to 5? As I do not have any missings (working with MI) I guess "expected" is in my case the correct setting, right? Thank you very much for your help! Janine

The default in Version 3 was listwise deletion of the data with missing values. In Version 5, the default to to use all information. This is why the information matrices changed. If you want listwise deletion, add LISTWISE=ON; to the DATA command.

I am fitting a single-level SEM model without any missing data and thinking of how to explain the difference between the ML and MLR estimators for my write-up. Is it correct to say that Mplus uses the expected information matrix to compute SEs and test statistic for ESTIMATOR = ML, and uses the observed information matrix to compute SEs and test statistic for ESTIMATOR = MLR?

Thanks for the response Dr. Muthen. One more question: Asparouhov (2005) states that the asymptotic covariance matrix used by the MLM and MLMV estimators is explained in Muthen & Satorra (1995), the "technical aspects of Muthen's LISCOMP approach" paper. Is there another paper that discusses this acov matrix that is a little easier to understand? The 1984 paper is too technical for me to be able to follow. I really just want to write out the equation for this acov matrix, I don't need to explain how it's derived.